Question

Ajinkya has twice as many pens with Sheetal and thrice as many pens with Heena. If they have in all $44$ pens, how many pens does Sheetal have?

• A. $12$
• B. $16$
• C. $8$
• D. $10$

Answer 1

The correct option is A $12$

$Letno.ofpensAjinkyahasbexthenno.ofpensofSheetal=\left(\frac{x}{2}\right)andno.ofpensofHeena=\left(\frac{x}{3}\right)\therefore x+x/2+x/3=44\left(\frac{6x+3x+2x}{6}\right)=44\therefore 11x=44\times 6\therefore x=24\therefore no.ofpensofSheetal=\left(\frac{24}{2}\right)=12$